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                [CROATIAN2010] ALADIN                </h1>
                <p>时间限制：10s&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  空间限制：64MB</p>			</div>
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                                <h3>题目描述</h3><p>有一个长度为 N 的序列P 和两种操作，共 Q个： 
1.  给定 L, R, A, B，将第 L 到第 R 个之间的每个元素 Px 变成（（X-L+1）×A）mod B  。  
2.  给定 L, R，询问第 L 到第 R 个元素的和。 
数据规模：N≤10^9  ，Q≤50000  ，  A, B≤106
 </p><hr/><h3>输入格式</h3><p>The first line contains two integers N i Q (1 ≤ N ≤ 1 000 000 000) (1 ≤ Q ≤ 50 
000), number of boxes and number of queries.
The next Q lines contain information about the simulation.
If the line starts with 1, than it follows the format "1 L R A B" (1 ≤ L ≤ R ≤ N) (1 
≤ A, B ≤ 1 000 000), meaning that Aladin keyed in numbers L, R, A and B in the 
device and allowed the device to do its job.
If the line starts with 2, than it follows the format "2 L R" (1 ≤ L ≤ R ≤ N). 
Meaning that Aladin wonders how many stones in total are ther stones are in 
boxes labeled L to R (inclusive).</p><hr/><h3>输出格式</h3><p>For each query beginning with 2 output the answer to that particular query. 
Queries should be processed in the order they are given in the input.</p><hr/><h3>样例输入</h3><pre>6 3
2 1 6
1 1 5 1 2
2 1 6
</pre><hr/><h3>样例输出</h3><pre>0
3</pre><hr/><h3>提示</h3><p>The boxes start containing {0, 0, 0, 0, 0, 0}, 0 stones in total. 
After that the device sets the stones to {1 mod 2, 2 mod 2, 3 mod 2, 4 mod 2, 
5 mod 2, 0} = {1,0,1,0,1,0}, or 3 stones in total.</p><hr/><h3>题目来源</h3><p>CONTEST #1 24.10.2009.</p>
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